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1000109993 is a prime number
BaseRepresentation
bin111011100111000…
…111011110101001
32120200212211222212
4323213013132221
54022012004433
6243123454505
733532536401
oct7347073651
92520784885
101000109993
11473599493
1223ab27435
1312c27827c
1496b79801
155cc03d48
hex3b9c77a9

1000109993 has 2 divisors, whose sum is σ = 1000109994. Its totient is φ = 1000109992.

The previous prime is 1000109987. The next prime is 1000110019. The reversal of 1000109993 is 3999010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 955860889 + 44249104 = 30917^2 + 6652^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000109993 - 24 = 1000109977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000109893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500054996 + 500054997.

It is an arithmetic number, because the mean of its divisors is an integer number (500054997).

Almost surely, 21000109993 is an apocalyptic number.

It is an amenable number.

1000109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000109993 is an equidigital number, since it uses as much as digits as its factorization.

1000109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 32.

The square root of 1000109993 is about 31624.5156958964. The cubic root of 1000109993 is about 1000.0366629891.

Adding to 1000109993 its reverse (3999010001), we get a palindrome (4999119994).

The spelling of 1000109993 in words is "one billion, one hundred nine thousand, nine hundred ninety-three".